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Finding the Third Proportional to 27,550.50 and 59,475

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Solution

The third proportional to 27,550.50 and 59,475 is: 128,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,550.50 : 59,475 = 59,475 : x
  2. Step 2: Convert to fraction form
    27,550.50/59,475 = 59,475/x
  3. Step 3: Cross multiply
    27,550.50x = 59,475 × 59,475
  4. Step 4: Simplify right side
    27,550.50x = 3,537,275,625
  5. Step 5: Solve for x
    x = 3,537,275,625/27,550.50
  6. Step 6: Final answer
    x = 128,392.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.